Deterministic reaction models with power-law forces
نویسندگان
چکیده
منابع مشابه
Deterministic reaction models with power-law forces
We study a one-dimensional particles system, in the overdamped limit, where nearest particles attract with a force inversely proportional to a power α of their distance and coalesce upon encounter. The detailed shape of the distribution function for the gap between neighbouring particles serves to discriminate between different laws of attraction. We develop an exact Fokker-Planck approach for ...
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In a recent paper published in this journal [42 (2009) 495004] we studied a one-dimensional particles system where nearest particles attract with a force inversely proportional to a power α of their distance and coalesce upon encounter. Numerics yielded a distribution function h(z) for the gap between neighbouring particles, with h(z) ∼ z for small z and β(α) > α. We can now prove analytically ...
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J. S. Wettlaufer,1,3 M. G. Worster,2 L. A. Wilen,3 and J. G. Dash3 1Applied Physics Laboratory, University of Washington, Box 355640, Seattle, Washington 98105 2Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW Cambridge, England 3Department of Physics, University of Washington, Box 351560, Seattle, Washington 98195 ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/49/495004